Results 251 to 260 of about 121,260 (302)

Discontinuous Galerkin Methods

2008
In this article, we describe some simple and commonly used discontinuous Galerkin methods for elliptic, Stokes and convection-diffusion problems. We illustrate these methods by numerical experiments.
Mary F. Wheeler, Vivette Girault
openaire   +2 more sources

Discontinuous Galerkin Methods

2018
Two GDMs are obtained from the Discontinuous Galerkin setting. The first one recovers the high order SIPG schemes in the case of linear problems, the second one, based on average jumps, leads to simpler computations.
Thierry Gallouët, Raphaèle Herbin, Jérôme Droniou, Robert Eymard, Cindy Guichard   +4 more
openaire   +2 more sources

A direct discontinuous Galerkin method for the compressible Navier-Stokes equations on arbitrary grids

Journal of Computational Physics, 2016
A Direct Discontinuous Galerkin (DDG) method is developed for solving the compressible NavierStokes equations on arbitrary grids in the framework of DG methods.
Jian Cheng, Xiaoquan Yang, Xiaodong Liu, Tiegang Liu, H. Luo   +4 more
semanticscholar   +1 more source

Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter

, 2016
In this paper, we propose a new type of weighted essentially non-oscillatory (WENO) limiter, which belongs to the class of Hermite WENO (HWENO) limiters, for the Runge-Kutta discontinuous Galerkin (RKDG) methods solving hyperbolic conservation laws. This
Jun Zhu, Xinghui Zhong, Chi-Wang Shu, J. Qiu   +3 more
semanticscholar   +1 more source

A Hybridizable Discontinuous Galerkin Method for the p-Laplacian

SIAM Journal on Scientific Computing, 2016
We propose the first hybridizable discontinuous Galerkin method for the $p$-Laplacian equation. When using polynomials of degree $k \geq 0$ for the approximation spaces of $u$, $\boldsymbol{\nabla} u$, and $|\boldsymbol{\nabla} u|^{p-2}\boldsymbol{\nabla}
Bernardo Cockburn, Jiguang Shen
semanticscholar   +1 more source

Discontinuous Galerkin Methods for Metamaterials [PDF]

, 2012
In this chapter, we introduce several discontinuous Galerkin (DG) methods for solving time-dependent Maxwell’s equations in dispersive media and metamaterials. We first present a succint review of DG methods in Sect. 4.1. Then we present some DG methods for the cold plasma model in Sect. 4.2. Here the DG methods are developed for a second-order integro-
Yunqing Huang, Jichun Li
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The Discontinuous Galerkin Method: Derivation and Properties [PDF]

, 2021
This text introduces to the main ingredients of the discontinuous Galerkin method, combining the framework of high-order finite element methods with Riemann solvers for the information exchange between the elements. The concepts are explained by the example of linear transport and convergence is evaluated in one, two, and three space dimensions ...
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Elastic wave propagation in fractured media using the discontinuous Galerkin method

, 2016
We have formulated and implemented a discontinuous Galerkin method (DGM) for elastic wave propagation that allows for discontinuities in the displacement field to simulate fractures or faults.
J. D. D. Basabe, Mrinal K. Sen, M. Wheeler   +2 more
semanticscholar   +1 more source

A discontinuous Galerkin method¶for the plate equation

Calcolo, 2002
The authors consider the plate problem using a discontinuous Galerkin method. Their main aim is to derive optimal a priori error estimates in various norms and investigate locking phenomena when certain stabilization parameters tend to infinity. The relations of the method to the nonconforming Morley element and to \(C^1\) Argyris element are briefly ...
Peter Hansbo, Mats G. Larson
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A Discontinuous Galerkin Method to Solve the EEG Forward Problem Using the Subtraction Approach

SIAM Journal on Scientific Computing, 2015
In order to perform electroencephalography (EEG) source reconstruction, i.e., to localize the sources underlying a measured EEG, the electric potential distribution at the electrodes generated by a dipolar current source in the brain has to be simulated,
C. Engwer, J. Vorwerk, J. Ludewig, C. Wolters   +3 more
semanticscholar   +1 more source